On the Periodic Structure of the Anisotropic Manev Problem

• Autores: Juan Luis García Guirao , José Luis Roca, Juan Antonio Vera López
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 3, 2019, págs. 987-999
• Idioma: inglés
• DOI: 10.1007/s12346-019-00323-x
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• Resumen

  • The aim of the present work is to provide sufficient conditions for the existence of periodic orbits of the first and second kind in the sense of Poincaré for the Anisotropic Manev problem. Moreover, we are also able to provide information on the stability and bifurcations of the orbits obtained. The main tool that we use is the averaging theory of dynamical systems.